Finding the Third Proportional to 25,798 and 56,294

Step by Step Solution

1. Step 1: Write the proportion equation
   25,798 : 56,294 = 56,294 : x
2. Step 2: Convert to fraction form
   25,798/56,294 = 56,294/x
3. Step 3: Cross multiply
   25,798x = 56,294 × 56,294
4. Step 4: Simplify right side
   25,798x = 3,169,014,436
5. Step 5: Solve for x
   x = 3,169,014,436/25,798
6. Step 6: Final answer
   x = 122,839.54